This paper introduces a teaching unit on using spiral symmetry in a geometry course for secondary education majors. The TI-92 graphing calculator is used to exploit the exponential function to analyze the geometric topic of similarity and to study the derivative of spirals. The paper provides some procedures and programs to generate spirals using…

Much has been said on matter of aesthetics and mathematics--perhaps most commonly articulated in relation to properties such as "beauty" and "elegance," which are used to distinguish good from not-so-good mathematical products. Despite its importance in the work of mathematicians, it has been argued that aesthetics cannot be incorporated into…

This proceedings of the annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education includes the following papers: "Affective Representation and Mathematical Problem Solving" (Goldin); "Cognitive Readiness and Process-Oriented Instruction in Secondary School Mathematics" (Harrison); "An…

The Mathematics, Science, and Technology Educators and Researchers of The Ohio State University (MSaTERs-OSU) is a student organization that grew out of the former Ohio State University Council of Teachers of Mathematics (OSU-CTM). Papers from the fourth annual conference include: (1) "Technology Education Curriculum Models in Michigan…

This document states the educational goals for Algebra 1 and Geometry in Arkansas' Learning Standards which are defined in the Arkansas Curriculum Framework. The five goals listed for Algebra 1 include Language of Algebra; Solve Equations and Inequalities; Graphs and Tables With and Without Graphing Calculators; Functions, Relations, and Patterns;…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

This book contains articles that help to further the process of reform in the middle grades, recognizing that the knowledge acquired during these years greatly affects how well the secondary school curriculum will attain its goals. Critical issues facing middle grade classes in particular and all mathematics classrooms in general are discussed.…

This standards document begins with a brief introduction and overview outlining and explaining a vision for mathematics teaching and learning in South Dakota, the purpose of the document, and the structure/organization of the document. Goals, rationales, and indicators for South Dakota Mathematics are also listed along with the South Dakota…

This video offers an exciting four-part adventure about two teenage sleuths who discover the presence of an alien below New York City. As they try to make contact with the alien, they are confronted with a series of mathematical challenges that test their knowledge of the content strands recommended by the National Council of Teachers of…

This print guide to the "XY Encounter" video offers an exciting four-part adventure about two teenage sleuths who discover the presence of an alien below New York City, and expands upon themes presented in the video. As the students try to make contact with the alien, they are confronted with a series of mathematical challenges that test their…

The standards, benchmarks, and indicators in this document were created to help Kansas educators develop local curricula and assessments, and to serve as the basis for the state assessments in mathematics. The committee strove to recommend high yet reasonable expectations for all students. There are four mathematics curricular standards: (1)…

This report describes a program for improving attitudes towards mathematics and problem solving in order to improve performance in these areas. The targeted population consists of two high school geometry classes. The school is located in a western suburb of a major mid-western city. The problems of negative attitudes towards mathematics and…

This profile is designed to be a recording sheet for monitoring an individual student's progress throughout the school year. Seventh grade assessment materials and the Strategies for Instruction in Mathematics suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of the four levels…